Wall clock time and date at job start Sat Apr 11 2020 06:11:22 AMSOL-version 7.1 by G. D. Hawkins, D. J. Giesen, G. C. Lynch, C. C. Chambers, I. Rossi, J. W. Storer, J. Li, J. D. Thompson, P. Winget, B. J. Lynch, D. Rinaldi, D. A. Liotard, C. J. Cramer, and D. G. Truhlar Copyright 2004 by Regents of the University of Minnesota. All rights reserved. Notice: recipients of this code are asked to comply with the user agreement in Section 1 of the documentation file. ******************************************************************************* * 1SCF - SCF CALCULATION WITHOUT GEOMETRY OPTIMIZATION * - USE EF ROUTINE FOR MINIMUM SEARCH (DEFAULT) * GEO-OK - OVERRIDE INTERATOMIC DISTANCE CHECK * TLIMIT= - A TIME OF 15. SECONDS REQUESTED * CHARGE - CHARGE ON SYSTEM= -1 * AM1 - THE AM1 HAMILTONIAN TO BE USED * DEV - DEVELOPER OPTIONS ARE ALLOWED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS USER-SPECIFIED * DIELEC - THE SOLVENT DIELECTRIC CONSTANT IS 2.06 * IOFR - THE SOLVENT INDEX OF REFRACTION IS 1.4345 * ALPHA - THE SOLVENT ALPHA IS 0.00 * BETA - THE SOLVENT BETA IS 0.00 * GAMMA - THE SOLVENT MACROSCOPIC SURFACE TENSION IS * 38.93 CAL MOL^-1 ANGSTROM^-2 * FACARB - THE FRACTION OF AROMATIC CARBONS IS 0.00 * FEHALO - THE FRACTION OF ELECTRONEGATIVE HALOGENS IS 0.00 ******************************************************************************* Atom NO. Chemical Bond length Bond angle Dihedral angle number (k) symbol (angstroms) (degrees) (degrees) (I) NA:I NB:NA:I NC:NB:NA:I NA NB NC 1 1 C 2 2 C 1.53003 * 1 3 3 C 1.53009 * 109.47014 * 2 1 4 4 H 1.08997 * 109.46927 * 304.99394 * 3 2 1 5 5 C 1.52996 * 109.46858 * 64.99757 * 3 2 1 6 6 C 1.53002 * 109.46870 * 184.99828 * 3 2 1 7 7 H 1.09000 * 109.46497 * 185.00183 * 6 3 2 8 8 N 1.46496 * 109.47313 * 64.99896 * 6 3 2 9 9 C 1.34773 * 119.99697 * 84.99661 * 8 6 3 10 10 O 1.21584 * 120.00298 * 0.02562 * 9 8 6 11 11 N 1.34783 * 120.00038 * 179.97438 * 9 8 6 12 12 C 1.47022 * 125.64401 * 359.69599 * 11 9 8 13 13 C 1.54317 * 107.27448 * 180.96787 * 12 11 9 14 14 C 1.55158 * 102.86130 * 22.52476 * 13 12 11 15 15 C 1.47418 * 125.65288 * 180.02562 * 11 9 8 16 16 C 1.50706 * 109.46925 * 304.99920 * 6 3 2 17 17 O 1.20826 * 119.99541 * 120.00323 * 16 6 3 18 18 O 1.34221 * 120.00092 * 300.00032 * 16 6 3 19 19 C 1.45198 * 116.99903 * 180.02562 * 18 16 6 20 20 C 1.53008 * 109.47231 * 180.02562 * 19 18 16 21 21 C 1.52994 * 109.47222 * 180.02562 * 20 19 18 22 22 C 1.50701 * 109.47114 * 179.97438 * 21 20 19 23 23 H 1.07996 * 120.00034 * 359.97438 * 22 21 20 24 24 C 1.37880 * 120.00056 * 179.97438 * 22 21 20 25 25 N 1.31516 * 119.99936 * 0.02562 * 24 22 21 26 26 Si 1.86794 * 119.99988 * 179.97438 * 24 22 21 27 27 H 1.48507 * 109.47093 * 60.00290 * 26 24 22 28 28 H 1.48500 * 109.47140 * 180.02562 * 26 24 22 29 29 H 1.48497 * 109.47445 * 300.00456 * 26 24 22 30 30 H 1.09002 * 109.46686 * 60.00259 * 1 2 3 31 31 H 1.08996 * 109.46873 * 179.97438 * 1 2 3 32 32 H 1.08996 * 109.47233 * 300.00564 * 1 2 3 33 33 H 1.09003 * 109.47389 * 240.00109 * 2 1 3 34 34 H 1.09002 * 109.46686 * 119.99741 * 2 1 3 35 35 H 1.09007 * 109.47359 * 60.00555 * 5 3 2 36 36 H 1.09001 * 109.47049 * 179.97438 * 5 3 2 37 37 H 1.09001 * 109.47593 * 299.99619 * 5 3 2 38 38 H 0.97006 * 120.00135 * 265.00330 * 8 6 3 39 39 H 1.09000 * 109.88544 * 300.51049 * 12 11 9 40 40 H 1.09003 * 109.88545 * 61.67786 * 12 11 9 41 41 H 1.09003 * 110.92688 * 264.11091 * 13 12 11 42 42 H 1.08996 * 110.59170 * 140.78694 * 13 12 11 43 43 H 1.09008 * 111.00040 * 206.22900 * 14 13 12 44 44 H 1.08997 * 111.00144 * 82.38199 * 14 13 12 45 45 H 1.09002 * 110.36626 * 274.67837 * 15 11 9 46 46 H 1.09003 * 110.36524 * 36.88340 * 15 11 9 47 47 H 1.08995 * 109.47220 * 299.99917 * 19 18 16 48 48 H 1.09006 * 109.47532 * 60.00248 * 19 18 16 49 49 H 1.09003 * 109.47181 * 300.00063 * 20 19 18 50 50 H 1.08993 * 109.46913 * 59.99961 * 20 19 18 51 51 H 1.09003 * 109.46913 * 300.00006 * 21 20 19 52 52 H 1.08994 * 109.47407 * 59.99474 * 21 20 19 53 53 H 0.97002 * 120.00025 * 180.02562 * 25 24 22 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 6 0.0000 0.0000 0.0000 2 6 1.5300 0.0000 0.0000 3 6 2.0400 1.4426 0.0000 4 1 1.6055 1.9815 -0.8419 5 6 1.6352 2.1266 1.3073 6 6 3.5649 1.4444 -0.1257 7 1 3.9355 2.4656 -0.0365 8 7 3.9481 0.8978 -1.4297 9 6 3.9870 1.7005 -2.5116 10 8 3.7046 2.8783 -2.4053 11 7 4.3401 1.1978 -3.7114 12 6 4.7113 -0.1993 -3.9793 13 6 5.0590 -0.3015 -5.4793 14 6 5.4183 1.1614 -5.8510 15 6 4.4245 1.9592 -4.9709 16 6 4.1601 0.5965 0.9689 17 8 4.8351 -0.3655 0.6883 18 8 3.9404 0.9102 2.2553 19 6 4.5453 0.0495 3.2562 20 6 4.1860 0.5608 4.6529 21 6 4.8239 -0.3457 5.7075 22 6 4.4705 0.1583 7.0831 23 1 3.8532 1.0374 7.1940 24 6 4.9355 -0.5030 8.2000 25 7 5.6877 -1.5733 8.0649 26 14 4.4981 0.1220 9.9051 27 1 3.0224 0.1140 10.0718 28 1 5.1171 -0.7579 10.9287 29 1 5.0073 1.5071 10.0703 30 1 -0.3633 0.5138 -0.8900 31 1 -0.3633 -1.0276 -0.0005 32 1 -0.3633 0.5139 0.8899 33 1 1.8934 -0.5138 -0.8900 34 1 1.8933 -0.5138 0.8900 35 1 2.0699 1.5876 2.1492 36 1 1.9989 3.1541 1.3075 37 1 0.5489 2.1253 1.3969 38 1 4.1736 -0.0418 -1.5145 39 1 5.5768 -0.4750 -3.3767 40 1 3.8725 -0.8564 -3.7495 41 1 4.2001 -0.6459 -6.0554 42 1 5.9148 -0.9592 -5.6305 43 1 5.2413 1.3502 -6.9099 44 1 6.4493 1.3908 -5.5819 45 1 3.4471 2.0077 -5.4511 46 1 4.8038 2.9636 -4.7823 47 1 4.1718 -0.9672 3.1347 48 1 5.6284 0.0558 3.1341 49 1 4.5591 1.5777 4.7747 50 1 3.1029 0.5542 4.7747 51 1 4.4511 -1.3627 5.5858 52 1 5.9069 -0.3387 5.5855 53 1 6.0145 -2.0388 8.8507 RHF calculation, no. of doubly occupied orbitals= 66 REFERENCES FOR PARAMETERS IN GAS-PHASE HAMILTONIAN: H: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) C: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) N: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) O: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) Si: (AM1): M.J.S.DEWAR, C. JIE, ORGANOMETALLICS, 6, 1486-1490 (1987). REFERENCE FOR CHARGE MODEL 2: J. Li, J. Xing, C. J. Cramer, and D. G. Truhlar, J. Chem. Phys. 111 (1999) 885. REFERENCE FOR THE PARAMETERIZATION OF THE SM5.42R SOLVATION MODEL: J. Li, T. Zhu, G. D. Hawkins, P. Winget, D. A. Liotard, C. J. Cramer, and D. G. Truhlar, Theor. Chem. Acc. 103 (1999) 9-63 P. Winget, J. D. Thompson C. J. Cramer,and D. G. Truhlar, J. Phys. Chem. B. submitted. CHARGE=-1 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=GENORG IOFR=1.4345 ALPHA=0.00 BETA=0.00 GAMMA=38.93 & DIELEC=2.06 FACARB=0.00 FEHALO=0.00 DEV ZINC000736831084.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:11:22 Heat of formation + Delta-G solvation = -139.487048 kcal Electronic energy + Delta-G solvation = -30624.589866 eV Core-core repulsion = 26495.578995 eV Total energy + Delta-G solvation = -4129.010871 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.63 seconds Orbital eigenvalues (eV) -41.14546 -40.16212 -38.13479 -36.88502 -36.51340 -34.11418 -33.94981 -32.02558 -31.71427 -30.26001 -29.37118 -27.64300 -26.72891 -24.36005 -23.97533 -23.11021 -21.72486 -21.54692 -20.62844 -20.32849 -19.41447 -18.77152 -17.35409 -16.97104 -16.70678 -16.51771 -16.31199 -15.78477 -15.24635 -14.90629 -14.78505 -14.49125 -14.43514 -14.02251 -13.72812 -13.58709 -13.47272 -13.30390 -12.88233 -12.78875 -12.58233 -12.25939 -12.19960 -12.01137 -11.91581 -11.82230 -11.70014 -11.67961 -11.24254 -11.19112 -10.96733 -10.88382 -10.76623 -10.69823 -10.61062 -10.46480 -10.41543 -10.33312 -9.74958 -9.56096 -9.41033 -9.19416 -8.88893 -8.39893 -6.04879 -4.07984 2.03657 2.17302 2.78536 2.96718 3.31768 3.36130 3.38735 3.62308 4.10090 4.17099 4.41417 4.43278 4.49703 4.57587 4.73755 4.79695 4.84941 4.91546 5.12009 5.19821 5.26249 5.28905 5.31052 5.37805 5.39318 5.40799 5.49217 5.50030 5.52629 5.55979 5.56990 5.67775 5.84948 5.86979 5.89511 5.93672 5.96648 5.98792 6.10663 6.21016 6.37054 6.50709 6.53164 6.68977 6.77340 6.95151 7.57848 7.61143 7.68683 7.77346 7.93134 8.28266 8.34041 8.98005 9.56339 11.06457 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.018522 B = 0.002063 C = 0.001968 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1511.366403 B =13566.788347 C =14224.469636 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.149 4.149 2 C -0.124 4.124 3 C -0.094 4.094 4 H 0.089 0.911 5 C -0.161 4.161 6 C 0.176 3.824 7 H 0.126 0.874 8 N -0.728 5.728 9 C 0.729 3.271 10 O -0.585 6.585 11 N -0.636 5.636 12 C 0.095 3.905 13 C -0.129 4.129 14 C -0.135 4.135 15 C 0.125 3.875 16 C 0.460 3.540 17 O -0.510 6.510 18 O -0.343 6.343 19 C 0.065 3.935 20 C -0.108 4.108 21 C 0.025 3.975 22 C -0.522 4.522 23 H 0.057 0.943 24 C 0.057 3.943 25 N -0.895 5.895 26 Si 0.896 3.104 27 H -0.276 1.276 28 H -0.287 1.287 29 H -0.276 1.276 30 H 0.052 0.948 31 H 0.053 0.947 32 H 0.061 0.939 33 H 0.059 0.941 34 H 0.063 0.937 35 H 0.084 0.916 36 H 0.060 0.940 37 H 0.062 0.938 38 H 0.405 0.595 39 H 0.069 0.931 40 H 0.067 0.933 41 H 0.078 0.922 42 H 0.083 0.917 43 H 0.086 0.914 44 H 0.077 0.923 45 H 0.066 0.934 46 H 0.079 0.921 47 H 0.067 0.933 48 H 0.067 0.933 49 H 0.061 0.939 50 H 0.061 0.939 51 H 0.019 0.981 52 H 0.019 0.981 53 H 0.262 0.738 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.458 3.166 -29.223 29.897 Note: The Mulliken population analysis charges presented below were not used in the solvation calculation but are provided for completeness. The chosen solvation model uses CM2 partial charges for calculating solvation energies. Net atomic charges, atomic populations, and dipole contributions using Mulliken population analysis Atom NO. Type Charge No. of electrons 1 C -0.206 4.206 2 C -0.161 4.161 3 C -0.114 4.114 4 H 0.108 0.892 5 C -0.218 4.218 6 C 0.068 3.932 7 H 0.143 0.857 8 N -0.385 5.385 9 C 0.431 3.569 10 O -0.463 6.463 11 N -0.375 5.375 12 C -0.028 4.028 13 C -0.167 4.167 14 C -0.173 4.173 15 C 0.002 3.998 16 C 0.303 3.697 17 O -0.399 6.399 18 O -0.259 6.259 19 C -0.008 4.008 20 C -0.146 4.146 21 C -0.012 4.012 22 C -0.560 4.560 23 H 0.076 0.924 24 C -0.145 4.145 25 N -0.534 5.534 26 Si 0.723 3.277 27 H -0.202 1.202 28 H -0.213 1.213 29 H -0.202 1.202 30 H 0.071 0.929 31 H 0.072 0.928 32 H 0.080 0.920 33 H 0.078 0.922 34 H 0.082 0.918 35 H 0.102 0.898 36 H 0.079 0.921 37 H 0.081 0.919 38 H 0.242 0.758 39 H 0.087 0.913 40 H 0.085 0.915 41 H 0.096 0.904 42 H 0.102 0.898 43 H 0.104 0.896 44 H 0.096 0.904 45 H 0.084 0.916 46 H 0.098 0.902 47 H 0.086 0.914 48 H 0.086 0.914 49 H 0.080 0.920 50 H 0.080 0.920 51 H 0.037 0.963 52 H 0.037 0.963 53 H 0.072 0.928 Dipole moment (debyes) X Y Z Total from point charges -5.374 3.625 -28.977 29.693 hybrid contribution 0.149 -0.505 0.947 1.084 sum -5.225 3.121 -28.029 28.682 Atomic orbital electron populations 1.21764 0.95155 1.01662 1.02047 1.21633 0.96817 0.95731 1.01952 1.21534 0.91562 0.97502 1.00771 0.89224 1.22079 1.01789 1.01091 0.96829 1.20379 0.95658 0.97931 0.79200 0.85682 1.44806 1.74159 1.13311 1.06218 1.15216 0.78119 0.84412 0.79170 1.90944 1.56543 1.14610 1.84218 1.47522 1.72201 1.10700 1.07114 1.22059 1.00333 0.83047 0.97391 1.22603 1.02394 0.97441 0.94290 1.22814 0.99772 0.94721 1.00003 1.22082 0.99176 0.96099 0.82468 1.23399 0.77852 0.83895 0.84591 1.90642 1.37084 1.28205 1.83985 1.86561 1.68610 1.55593 1.15109 1.23584 0.97717 0.92992 0.86466 1.21773 1.01651 1.01317 0.89867 1.19042 0.96020 0.94336 0.91849 1.21128 1.31955 1.12237 0.90688 0.92447 1.25032 0.95068 0.94960 0.99423 1.69955 1.34750 1.18698 1.29956 0.86601 0.78698 0.78748 0.83630 1.20170 1.21277 1.20169 0.92892 0.92768 0.91993 0.92178 0.91841 0.89784 0.92140 0.91888 0.75792 0.91260 0.91464 0.90353 0.89814 0.89574 0.90440 0.91562 0.90228 0.91431 0.91441 0.92037 0.92044 0.96276 0.96282 0.92839 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. Note: The number of geometries may not correspond to the number of cycles due to rejected geometry changes. In the following table subtotal= G_P + SS G_CDS. Atom Chem. CM2 G_P Area Sigma k SS G_CDS Subtotal M number symbol chg. (kcal) (Ang**2) cal/(Ang**2) (kcal) (kcal) value 1 C -0.15 -1.37 9.67 37.16 0.36 -1.01 16 2 C -0.12 -1.30 4.91 -26.73 -0.13 -1.44 16 3 C -0.09 -1.03 2.34 -90.62 -0.21 -1.24 16 4 H 0.09 1.02 8.14 -51.93 -0.42 0.60 16 5 C -0.16 -1.77 8.59 37.16 0.32 -1.45 16 6 C 0.18 2.17 2.29 -69.08 -0.16 2.01 16 7 H 0.13 1.61 7.58 -51.93 -0.39 1.22 16 8 N -0.73 -8.34 4.28 -59.81 -0.26 -8.60 16 9 C 0.73 9.01 8.45 -86.92 -0.73 8.27 16 10 O -0.59 -9.11 16.26 5.29 0.09 -9.02 16 11 N -0.64 -5.96 3.33 -176.26 -0.59 -6.55 16 12 C 0.09 0.62 6.14 -3.07 -0.02 0.60 16 13 C -0.13 -0.56 6.95 -24.90 -0.17 -0.73 16 14 C -0.13 -0.63 7.08 -24.60 -0.17 -0.80 16 15 C 0.12 0.93 6.91 -2.55 -0.02 0.91 16 16 C 0.46 6.71 5.89 36.01 0.21 6.93 16 17 O -0.51 -8.38 15.59 -18.75 -0.29 -8.68 16 18 O -0.34 -5.36 7.36 -39.23 -0.29 -5.65 16 19 C 0.07 1.15 5.47 37.16 0.20 1.35 16 20 C -0.11 -2.18 5.53 -26.73 -0.15 -2.33 16 21 C 0.02 0.62 4.97 -27.89 -0.14 0.48 16 22 C -0.52 -14.54 9.11 -34.44 -0.31 -14.86 16 23 H 0.06 1.54 7.74 -52.49 -0.41 1.14 16 24 C 0.06 1.61 5.46 -17.82 -0.10 1.51 16 25 N -0.89 -26.64 13.29 55.43 0.74 -25.91 16 26 Si 0.90 21.47 29.54 -169.99 -5.02 16.45 16 27 H -0.28 -6.49 7.11 56.52 0.40 -6.09 16 28 H -0.29 -6.82 7.11 56.52 0.40 -6.42 16 29 H -0.28 -6.50 7.11 56.52 0.40 -6.10 16 30 H 0.05 0.45 8.14 -51.93 -0.42 0.03 16 31 H 0.05 0.47 8.14 -51.93 -0.42 0.05 16 32 H 0.06 0.57 6.56 -51.93 -0.34 0.22 16 33 H 0.06 0.61 7.62 -51.93 -0.40 0.21 16 34 H 0.06 0.77 7.28 -51.93 -0.38 0.39 16 35 H 0.08 1.06 5.46 -51.92 -0.28 0.78 16 36 H 0.06 0.65 8.14 -51.93 -0.42 0.22 16 37 H 0.06 0.62 6.57 -51.93 -0.34 0.28 16 38 H 0.41 4.32 6.78 -40.82 -0.28 4.05 16 39 H 0.07 0.47 8.14 -51.93 -0.42 0.05 16 40 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 41 H 0.08 0.28 8.14 -51.93 -0.42 -0.14 16 42 H 0.08 0.28 8.14 -51.93 -0.42 -0.14 16 43 H 0.09 0.26 8.14 -51.92 -0.42 -0.16 16 44 H 0.08 0.38 8.14 -51.93 -0.42 -0.04 16 45 H 0.07 0.45 8.14 -51.93 -0.42 0.03 16 46 H 0.08 0.68 8.03 -51.93 -0.42 0.26 16 47 H 0.07 1.19 8.13 -51.93 -0.42 0.77 16 48 H 0.07 1.21 8.13 -51.93 -0.42 0.79 16 49 H 0.06 1.22 8.14 -51.93 -0.42 0.80 16 50 H 0.06 1.20 8.14 -51.93 -0.42 0.78 16 51 H 0.02 0.50 8.14 -51.93 -0.42 0.08 16 52 H 0.02 0.51 8.14 -51.93 -0.42 0.08 16 53 H 0.26 7.38 8.31 -40.82 -0.34 7.04 16 LS Contribution 421.06 15.07 6.35 6.35 Total: -1.00 -32.60 421.06 -10.05 -42.66 By element: Atomic # 1 Polarization: 10.29 SS G_CDS: -9.55 Total: 0.74 kcal Atomic # 6 Polarization: -0.56 SS G_CDS: -1.22 Total: -1.79 kcal Atomic # 7 Polarization: -40.94 SS G_CDS: -0.11 Total: -41.05 kcal Atomic # 8 Polarization: -22.85 SS G_CDS: -0.50 Total: -23.35 kcal Atomic # 14 Polarization: 21.47 SS G_CDS: -5.02 Total: 16.45 kcal Total LS contribution 6.35 Total: 6.35 kcal Total: -32.60 -10.05 -42.66 kcal The number of atoms in the molecule is 53 The average number of expansion shells was 16.00 The maximum number of expansion shells was 16 The minimum number of expansion shells was 16 **** NOTA BENE **** This is the net solvation energy for this exact molecular structure (nuclear and electronic)! The standard-state solvation energy should be obtained as the difference between the heat of formation plus delta-G solvation for the relaxed solvated system and that for the relaxed gas-phase system. ZINC000736831084.mol2 53 1SCF run This is a breakdown of the solvation energy calculated without geometric relaxation in solution: (1) E-EN(sol) electronic-nuclear energy of solute -96.831 kcal (2) G-P(sol) polarization free energy of solvation -32.602 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -129.433 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.054 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.656 kcal (6) G-S(sol) free energy of system = (1) + (5) -139.487 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.64 seconds